Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2394m |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3045813791076 = 22 · 316 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10274,-389347] |
[a1,a2,a3,a4,a6] |
j |
164503536215257/4178071044 |
j-invariant |
L |
3.7995369544082 |
L(r)(E,1)/r! |
Ω |
0.47494211930103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19152bp2 76608co2 798d2 59850bf2 |
Quadratic twists by: -4 8 -3 5 |